Axial-Current Anomaly in Euler Fluid

Abstract

We argue that a close analog of the axial-current anomaly of quantum field theories with fermions occurs in the classical Euler fluid. The conservation of the axial current (closely related to the helicity of inviscid barotropic flow) is anomalously broken by the external electromagnetic field as ${\partial }_{\mu }{j}_A^{\mu }=2\mathbf{E}\cdot \mathbf{B}$ similar to that of the axial current of a quantum field theory with Dirac fermions such as QED.

arXiv comment6 pages, LaTeX; typos corrected, references added

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Cited by in corpus (7)

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• Fluid-electromagnetic helicities and knotted solutions of the fluid-electromagnetic equations
• Hamilton Principle for Chiral Anomalies in Hydrodynamics
• Helicity conservation in perfect electromagnetic and chiral fluids